Cole-Hopf Transformation Based Lattice Boltzmann Model for One-dimensional Burgers’ Equation<xref rid="ctp_69_3_329fn1" ref-type="fn">*</xref> <fn id="ctp_69_3_329fn1"> <label>*</label> <p>Supported by the National Natural Science Foundation of China under Grant No. 51576079</p> </fn>

Cole-Hopf Transformation Based Lattice Boltzmann Model for One-dimensional Burgers’ Equation* *

Supported by the National Natural Science Foundation of China under Grant No. 51576079

Qi Xiao-Tong^{1, 2}, Shi Bao-Chang^{1, 2}, Chai Zhen-Hua^{1, 2, †}

Numerical and analytical solutions under different diffusion coefficients ((a) ν = 1.0, (b) ν = 1.0 × 10⁻², (c) ν = 1.0 × 10⁻⁴, (d) ν = 1.0 × 10⁻⁶; solid lines: analytical results, symbols: numerical results).